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We derive the amino acid assignment to one codon representation (typical 64-dimensional irreducible representation) of the basic classical Lie superalgebra osp(5|2) from biochemical arguments. We motivate the approach of mathematical…

General Physics · Physics 2012-02-03 Sebastian Sachse , Christian Roeder

A three-dimensional model of the genetic vocabulary is proposed in terms of determinative degree, an introduced characteristic of nucleotide, which reflects absolute difference between purin and pyrimidin bases in one DNA strand. In the…

Chemical Physics · Physics 2007-05-23 Diana Duplij , Steven Duplij

We discuss a range of miscodes found in probabilistic genotyping (PG) software and from other industries that have been reported in the literature and have been used to inform PG admissibility hearings. Every instance of the discovery of a…

Software Engineering · Computer Science 2022-05-23 John Buckleton , Jo-Anne Bright , Kevin Cheng , Duncan Taylor

Genome modeling conventionally treats gene sequence as a language, reflecting its structured motifs and long-range dependencies analogous to linguistic units and organization principles such as words and syntax. Recent studies utilize…

Machine Learning · Computer Science 2025-05-06 Lei Mao , Yuanhe Tian , Yan Song

The interactions between DNA, RNA, and proteins are fundamental to biological processes, as illustrated by the central dogma of molecular biology. Although modern biological pre-trained models have achieved great success in analyzing these…

Machine Learning · Computer Science 2025-12-02 Zicheng Liu , Siyuan Li , Zhiyuan Chen , Chang Yu , Qirong Yang , Yucheng Guo , Yujie Yang , Xiaoming Zhang , Stan Z. Li

While all the information required for the folding of a protein is contained in its amino acid sequence, one has not yet learned how to extract this information to predict the three--dimensional, biologically active, native conformation of…

Biomolecules · Quantitative Biology 2009-11-10 R. A. Broglia , G. Tiana

Molecular docking is a critical computational strategy in drug design and discovery, but the complex diversity of biomolecular structures and flexible binding conformations create an enormous search space that challenges conventional…

Computational Physics · Physics 2025-03-27 Yihan He , Ming-Chun Hong , Qiming Ding , Chih-Sheng Lin , Chih-Ming Lai , Chao Fang , Xiao Gong , Tuo-Hung Hou , Gengchiau Liang

Genetic programming (GP) is an evolutionary computation technique to solve problems in an automated, domain-independent way. Rather than identifying the optimum of a function as in more traditional evolutionary optimization, the aim of GP…

Neural and Evolutionary Computing · Computer Science 2019-05-15 Andrei Lissovoi , Pietro S. Oliveto

New developments are presented in the framework of the model introduced by the authors in refs. [1,2] and in which nucleotides as well as codons are classified in crystal bases of the quantum group U_q(sl(2)+sl(2)) in the limit q -> 0. An…

Biological Physics · Physics 2007-05-23 L. Frappat , A. Sciarrino , P. Sorba

The present article is the first of a series whose goal is to define a logical formalism in which it is possible to reason about genetics. In this paper, we introduce the main concepts of our language whose domain of discourse consists of a…

Category Theory · Mathematics 2020-04-07 Rémy Tuyéras

Inverse protein folding is challenging due to its inherent one-to-many mapping characteristic, where numerous possible amino acid sequences can fold into a single, identical protein backbone. This task involves not only identifying viable…

Quantitative Methods · Quantitative Biology 2023-11-08 Kai Yi , Bingxin Zhou , Yiqing Shen , Pietro Liò , Yu Guang Wang

In the present work, we review the fundamental methods which have been developed in the last few years for classifying into families and clans the distribution of amino acids in protein databases. This is done through functions of random…

Biomolecules · Quantitative Biology 2018-06-15 R. P. Mondaini , S. C. de Albuquerque Neto

Beyond the genetic code, there is another layer of information encoded as chemical modifications on histone proteins positioned along the DNA. Maintaining these modifications is crucial for survival and identity of cells. How the…

Genomics · Quantitative Biology 2020-05-15 Nithya Ramakrishnan , Sibi Raj B Pillai , Ranjith Padinhateeri

Genetic Programming (GP) is an evolutionary algorithm commonly used for machine learning tasks. In this paper we present a method that allows GP to transform the representation of a large-scale machine learning dataset into a more compact…

Neural and Evolutionary Computing · Computer Science 2018-02-21 Lino Rodriguez-Coayahuitl , Alicia Morales-Reyes , Hugo Jair Escalante

In this paper, we aim to give a tutorial for undergraduate students studying statistical methods and/or bioinformatics. The students will learn how data visualization can help in genomic sequence analysis. Students start with a fragment of…

Quantitative Methods · Quantitative Biology 2008-01-17 A. N. Gorban , A. Y. Zinovyev

Due to its longevity and enormous information density, DNA is an attractive medium for archival data storage. Thanks to rapid technological advances, DNA storage is becoming practically feasible, as demonstrated by a number of experimental…

Information Theory · Computer Science 2022-11-11 Ilan Shomorony , Reinhard Heckel

In this Communication we present statistical analysis of conservation profiles in families of homologous sequences for nine proteins whose folding nucleus was determined by protein engineering methods. We show that in all but one protein…

Biological Physics · Physics 2007-05-23 Leonid Mirny , Eugene Shakhnovich

A four-node network consisting of a negative loop controlling a positive one is studied. It models some of the features of the p53 gene network. Using piecewise linear dynamics with thresholds, the allowed dynamical classes are fully…

Molecular Networks · Quantitative Biology 2007-05-23 Carlos Aguirre , Joao Martins , R. Vilela Mendes

We live in a period where bio-informatics is rapidly expanding, a significant quantity of genomic data has been produced as a result of the advancement of high-throughput genome sequencing technology, raising concerns about the costs…

Quantitative Methods · Quantitative Biology 2023-03-10 Mehedi Hasan Sarkar , Adnan Ferdous Ashrafi

The genetic code is profoundly shaped by an origin in ancient RNA-mediated interactions, needing an extended development to reach the Standard Genetic Code (SGC). That development can serially use RNA specificities, a ribonucleopeptide…

Populations and Evolution · Quantitative Biology 2024-06-13 Michael Yarus